Least Common Multiple of 398/16, 351/76, 403/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/16, 351/76, 403/650 quickly i.e. 2165319 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/16, 351/76, 403/650 is 2165319.

LCM(398/16, 351/76, 403/650) = 2165319

LCM of 398/16, 351/76, 403/650

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 398/16,351/76,403/650

Given numbers are 398/16,351/76,403/650

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 398,351,403

Least Common Multiple of Numerators i.e. LCM of 398,351,403 is 4330638.

GCF of Denominators means GCF of 16,76,650 as per the given fractions.

GCF of 16,76,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,351,403

LCM of Fractions 398/16,351/76,403/650 is 2165319

13 398, 351, 403
398, 27, 31

∴ So the LCM of the given numbers is 13 x 398 x 27 x 31 = 4330638

Least Common Multiple of 398,351,403 with GCF Formula

Least Common Multiple of 398,351,403 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 398,351,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,351,403) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(398,351,403) x common factors =1 x 13 = 13

LCM(398,351,403) = ( 398 × 351 × 403 ) / 13

LCM(398,351,403) = 56298294 / 13

LCM(398,351,403) = 4330638


Lets's calculate GCF of 16,76,650

2 16, 76, 650
8, 38, 325

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4330638/2

Therefore the LCM of Fractions 398/16,351/76,403/650 is 2165319

Greatest Common Factor of 16,76,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,76,650 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 16,76,650 . The biggest common factor number is the GCF number.
So the greatest common factor 16,76,650 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 398/16, 351/76, 403/650

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 398/16, 351/76, 403/650?

Answer: LCM of Numerators as per given numbers 398/16, 351/76, 403/650 is

LCM of Numerators i.e. for 398,351,403 is 4330638

GCF of denominators i.e. for 16,76,650 is 2.

Thus, LCM of Fractions is 2165319.Finally, LCM of Fractions for 398/16, 351/76, 403/650 is 2165319.